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Finding the Fourth Proportional to 2,801.42, 4,194.03 and 2,111.02

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Solution

The fourth proportional to 2,801.42, 4,194.03 and 2,111.02 is: 3,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.42 : 4,194.03 = 2,111.02 : x
  2. Step 2: Convert to fraction form
    2,801.42/4,194.03 = 2,111.02/x
  3. Step 3: Cross multiply
    2,801.42x = 4,194.03 × 2,111.02
  4. Step 4: Simplify right side
    2,801.42x = 8,853,681.21
  5. Step 5: Solve for x
    x = 8,853,681.21/2,801.42
  6. Step 6: Final answer
    x = 3,160.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.